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Finding the Third Proportional to 203,926.36 and 413,548.03

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Solution

The third proportional to 203,926.36 and 413,548.03 is: 838,645.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,926.36 : 413,548.03 = 413,548.03 : x
  2. Step 2: Convert to fraction form
    203,926.36/413,548.03 = 413,548.03/x
  3. Step 3: Cross multiply
    203,926.36x = 413,548.03 × 413,548.03
  4. Step 4: Simplify right side
    203,926.36x = 171,021,974,150.75
  5. Step 5: Solve for x
    x = 171,021,974,150.75/203,926.36
  6. Step 6: Final answer
    x = 838,645.75

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.